Using a 2-inch fluted round cutter, cut 12 rounds from pizza crust, discarding scraps. Place rounds 2 inches apart on prepared baking sheet. Brush tops of rounds with olive oil. Sprinkle evenly with oregano and pepper. Sprinkle evenly with mozzarella cheese and Parmesan cheese. Top each with a tomato slice and an artichoke heart.
Bake until edges of rounds are light golden brown and cheeses melt, 8 to 10 minutes.
Garnish with fresh basil leaves, just before serving, if desired.